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The axisymmetric mixed boundary-value problem of the vertical vibration of a rigid foundation on saturated layered soil subgrade

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Abstract

Based on the theory of elastic wave propagation in saturated soil subgrade established by the author of this paper, the axisymmetric vertical vibration of a rigid circular foundation resting on partially saturated soil subgrade which is composed of a dry elastic layer and a saturated substratum is studied. The analysis relied on the use of integral transform techniques and a pair of dual integral equations governing the vertical vibration of the rigid foundation is listed under the consideration of mixed boundary-value condition. The results are reduced to the case for saturated half-space. The set of dual integral equations are reduced to a Fredholm integral equation of the second kind and solved by numerical procedures. Numerical examples are given at the end of the paper and plots of the dynamic compliance coefficient Cv versus the dimensionless frequency a0 are presented.

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References

  1. Luco J E, Westmann R A. Dynamic response of circular footings[J].J Eng Mech, ASCE, 1971,97 (5):1381–1395.

    Google Scholar 

  2. Halpern M R, Christiano P. Response of poroelastic halfspace to steady-state harmonic surface tractions[J].Internal J Numer Anal Methods Geomech, 1986,10(6):609–632.

    Article  MATH  Google Scholar 

  3. Philippacopoulos A J. Axisymmetric vibration of disk resting on saturated layered half-space[J].J Eng Mech, ASCE, 1989,115(10):2301–2322.

    Article  Google Scholar 

  4. Bougacha S, Tassoulas J L, Roesset J M. Analysis of foundation on fluid-filled poroelastic stratum [J].J Engl Mech, ASCE, 1993,119(8):1632–1648.

    Article  Google Scholar 

  5. CHEN Long-zhu, CHEN Sheng-li. The vertical vibration of a rigid circular footing on saturated ground[J].Chinese J of Geot Engrg, 1999,21(4):392–397. (in Chinese)

    Google Scholar 

  6. CHEN Long-zhu. The Propagation and application of the elastic wave in saturated soil[D]. Hangzhou: Zhejiang University, 1987. (in Chinese)

    Google Scholar 

  7. Noble B. The solution of Bessel function dual integral equations by a multiplying-factor method[J].Proc Camb Phil Soc, 1963,59(351):315–362.

    Google Scholar 

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Authors and Affiliations

  1. School of Civil and Hydraulic Engineering, Tsinghua University, 100084, Beijing, P R China

    Chen Sheng-li Doctor

  2. School of Architecture and Civil Engineering, Shanghai Jiaotong University, 200030, Shanghai, P R China

    Chen Long-zhu

Authors
  1. Chen Sheng-li Doctor
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  2. Chen Long-zhu
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Additional information

Communicated by WU Jia-long

Foundation item: the National Natural Science Foundation of China (59579018)

Biography: CHEN Sheng-li (1974-)

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Sheng-li, C., Long-zhu, C. The axisymmetric mixed boundary-value problem of the vertical vibration of a rigid foundation on saturated layered soil subgrade. Appl Math Mech 23, 218–225 (2002). https://doi.org/10.1007/BF02436564

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  • DOI: https://doi.org/10.1007/BF02436564

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